Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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Calculate the velocity and acceleration vectors, and speed for
r(t) = (cos(t), sin(3t) , sin(t))
when t
Velocity:
Acceleration:
Speed:
Usage: To enter a vector, for example (x, y, z), type ""
The position vector r describes the path of an object moving in the xy-plane.
Position Vector
Point
r(t) = 2 cos ti + 2 sin tj
(VZ, V2)
(a) Find the velocity vector, speed, and acceleration vector of the object.
v(t)
=
s(t)
a(t) =
(b) Evaluate the velocity vector and acceleration vector of the object at the given point.
a(#) =
calculate speed only, the rest are done.
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